Elliptic Boundary Problems and the Boutet de Monvel Calculus in Besov and Triebel-Lizorkin Spaces.

DOI10.7146/math.scand.a-12593zbMath0873.35023arXiv1704.08555OpenAlexW2962805008MaRDI QIDQ4346568

Johnsen, Jon.

Publication date: 26 October 1997

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.08555

zbMATH Keywords

Triebel-Lizorkin spacesBesov spacesFredholm propertiessemilinear problemsGreen operatorscontinuity propertiesdecomposition of vector fields

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Second-order elliptic equations (35J15) Pseudodifferential operators (47G30)

Related Items (14)

The Boutet de Monvel operators in variable Hölder–Zygmund spaces on $\mathbb{R}^{n}_+$ ⋮ Besov and Triebel-Lizorkin regularity for the Hodge decomposition and applications to magnetic potentials ⋮ Geometric BVPs, Hardy spaces, and the Cauchy integral and transform on regions with corners ⋮ Limited regularity of solutions to fractional heat and Schrödinger equations ⋮ On the trace problem for Lizorkin–Triebel spaces with mixed norms ⋮ Green’s formula and a Dirichlet-to-Neumann operator for fractional-order pseudodifferential operators ⋮ Pseudodifferential Boundary Value Problems with Non-Smooth Coefficients ⋮ Maximal regularity with weights for parabolic problems with inhomogeneous boundary conditions ⋮ Traces of Besov spaces revisited ⋮ The Green formula and layer potentials ⋮ Parametrices and Exact Paralinearization of Semi-Linear Boundary Problems ⋮ Regularity of spectral fractional Dirichlet and Neumann problems ⋮ Fatou-type theorems and boundary value problems for elliptic systems in the upper half-space ⋮ Elliptic and parabolic boundary value problems in weighted function spaces

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